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34241220 = 223251314633
BaseRepresentation
bin1000001010011…
…1101011000100
32101102122010100
42002213223010
532231204340
63221524100
7564021426
oct202475304
971378110
1034241220
1118367a32
12b573630
13712b5a0
144794816
153015830
hex20a7ac4

34241220 has 72 divisors (see below), whose sum is σ = 111862296. Its totient is φ = 8428032.

The previous prime is 34241219. The next prime is 34241269. The reversal of 34241220 is 2214243.

It can be written as a sum of positive squares in 4 ways, for example, as 1887876 + 32353344 = 1374^2 + 5688^2 .

It is a super-2 number, since 2×342412202 = 2344922294176800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34241193 and 34241202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4977 + ... + 9656.

It is an arithmetic number, because the mean of its divisors is an integer number (1553643).

Almost surely, 234241220 is an apocalyptic number.

34241220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34241220 is an abundant number, since it is smaller than the sum of its proper divisors (77621076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34241220 is a wasteful number, since it uses less digits than its factorization.

34241220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14661 (or 14656 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34241220 is about 5851.5997812564. The cubic root of 34241220 is about 324.7255118281.

Adding to 34241220 its reverse (2214243), we get a palindrome (36455463).

The spelling of 34241220 in words is "thirty-four million, two hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 14633 29266 43899 58532 73165 87798 131697 146330 175596 190229 219495 263394 292660 380458 438990 526788 570687 658485 760916 877980 951145 1141374 1316970 1712061 1902290 2282748 2633940 2853435 3424122 3804580 5706870 6848244 8560305 11413740 17120610 34241220